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820743869329 = 1748279051137
BaseRepresentation
bin10111111000110000010…
…01011001001110010001
32220110111001101111010021
423330120021121032101
5101421340412304304
61425013341303441
7113203540532116
oct13743011311621
92813431344107
10820743869329
1129709157685a
12113095564b81
135c51b7b3477
142ba1d36490d
15165394e8a54
hexbf18259391

820743869329 has 4 divisors (see below), whose sum is σ = 869022920484. Its totient is φ = 772464818176.

The previous prime is 820743869327. The next prime is 820743869353. The reversal of 820743869329 is 923968347028.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 309082626304 + 511661243025 = 555952^2 + 715305^2 .

It is a cyclic number.

It is not a de Polignac number, because 820743869329 - 21 = 820743869327 is a prime.

It is a super-2 number, since 2×8207438693292 (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (820743869327) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 24139525552 + ... + 24139525585.

It is an arithmetic number, because the mean of its divisors is an integer number (217255730121).

Almost surely, 2820743869329 is an apocalyptic number.

It is an amenable number.

820743869329 is a deficient number, since it is larger than the sum of its proper divisors (48279051155).

820743869329 is a wasteful number, since it uses less digits than its factorization.

820743869329 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48279051154.

The product of its (nonzero) digits is 31352832, while the sum is 61.

The spelling of 820743869329 in words is "eight hundred twenty billion, seven hundred forty-three million, eight hundred sixty-nine thousand, three hundred twenty-nine".

Divisors: 1 17 48279051137 820743869329